Hodge Theoretic Results for Nearly Kähler Manifolds
Complex Geometry Seminar
Speaker Michael Albanese Adelaide University A nearly Kähler six-manifold admits a compatible SU(3)-structure. Verbitsky utilised this SU(3)-structure to obtain a generalisation of the Kähler identities, which he used to prove a Hodge decomposition analogous to the Kähler case. We extend these identities and the Hodge decomposition to nearly Kähler manifolds in arbitrary dimensions. …